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Finding the Third Proportional to 40,981 and 61,847

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Solution

The third proportional to 40,981 and 61,847 is: 93,337.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,981 : 61,847 = 61,847 : x
  2. Step 2: Convert to fraction form
    40,981/61,847 = 61,847/x
  3. Step 3: Cross multiply
    40,981x = 61,847 × 61,847
  4. Step 4: Simplify right side
    40,981x = 3,825,051,409
  5. Step 5: Solve for x
    x = 3,825,051,409/40,981
  6. Step 6: Final answer
    x = 93,337.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.